Three types of sugar, H, J and K come in containers of 180 g, 300 g and 480 g respectively. Containers of H, J and K are mixed together in the ratio 1 : 4 : 7 to obtain 28.44 kg of an assortment of sugar.

1. How many containers of H and J are used altogether?
2. Find the difference between the combined weight of all the sugar in containers J and containers K as compared to the sugar in containers H. Express the weight in kilograms.

	H	J	K
Number	1 u	4 u	7 u
Value	180	300	480
Total value	180 u	1200 u	3360 u

(a)
Total mass of sugar
= 180 u + 1200 u + 3360 u
= 4740 u

4740 u = 28440

1 u = 28440 ÷ 4740 = 6

Total number of containers of H and J used
= 1 u + 4 u
= 5 u
= 5 x 6
= 30 

(b)
Combined weight of all the sugar in containers J and containers K
= 1200 u + 3360 u
= 4560 u

Difference between the combined weight of all the sugar in containers J and containers K as compared to the sugar in containers H
= 4560 u - 180 u
= 4380 u
= 4380 x 6
= 26280 g
= 26.28 kg 

Answer(s): (a) 30; (b) 26.28 kg